Energy efficient communication in ad hoc networks from user's and designer's perspective

We consider a game that models the creation of a wireless ad hoc network, where nodes are owned by selfish agents. We study a novel cost sharing model in which agents may pay for the transmission power of the other nodes. Each agent has to satisfy some connectivity requirement in the final network and the goal is to minimize its payment with no regard to the overall system performance. We analyze two fundamental connectivity games, namely broadcast and convergecast. We study pure Nash equilibria and quantify the degradation in the network performance called the price of anarchy resulting from selfish behavior. We derive tight bounds on the price of anarchy for these games. We also study centralized network design. One of the most important problems in wireless ad hoc networks is the minimum-energy broadcast. Recently, there appeared many new applications such as real-time multimedia, battlefield communications and rescue operations that impose stringent end-to-end latency bounds on the broadcasting time. However, the existing algorithms that minimize the broadcasting energy tend to produce solutions with high latency. In this paper we consider the problem of bounded-hop broadcast. We present approximation and heuristic algorithms for this problem.

[1]  Scott Shenker,et al.  On a network creation game , 2003, PODC '03.

[2]  Jon Feldman,et al.  The Directed Steiner Network problem is tractable for a constant number of terminals , 1999, 40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039).

[3]  Suresh Singh,et al.  Power-Aware Broadcasting in Mobile Ad Hoc Networks∗ , 1999 .

[4]  Joseph Naor,et al.  Improved approximations for shallow-light spanning trees , 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.

[5]  Peter Sanders,et al.  Approximating Energy Efficient Paths in Wireless Multi-hop Networks , 2003, ESA.

[6]  Wen-Tsuen Chen,et al.  The strongly connecting problem on multihop packet radio networks , 1989, IEEE Trans. Commun..

[7]  Guy Kortsarz,et al.  Approximating the Weight of Shallow Steiner Trees , 1999, Discret. Appl. Math..

[8]  Pietro Michiardi,et al.  A game theoretical approach to evaluate cooperation enforcement mechanisms in mobile ad hoc networks , 2003 .

[9]  Gruia Calinescu,et al.  Bounded-hops power assignment in ad-hoc wireless networks , 2004, 2004 IEEE Wireless Communications and Networking Conference (IEEE Cat. No.04TH8733).

[10]  Madhav V. Marathe,et al.  Topology Control Problems under Symmetric and Asymmetric Power Thresholds , 2003, ADHOC-NOW.

[11]  Charles E. Perkins,et al.  Ad hoc networking: an introduction , 2001 .

[12]  Samir Khuller,et al.  Improved Methods for Approximating Node Weighted Steiner Trees and Connected Dominating Sets , 1998, Inf. Comput..

[13]  Jon Crowcroft,et al.  Modelling incentives for collaboration in mobile ad hoc networks , 2004, Perform. Evaluation.

[14]  Xiang-Yang Li,et al.  Minimum-energy broadcast routing in static ad hoc wireless networks , 2001, Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213).

[15]  Shu-Cherng Fang,et al.  On the Point-to-Point Connection Problem , 1995, Inf. Process. Lett..

[16]  Andrzej Pelc,et al.  Power consumption in packet radio networks , 2000, Theor. Comput. Sci..

[17]  Yishay Mansour,et al.  Centralized broadcast in multihop radio networks , 2003, J. Algorithms.

[18]  Ivan Stojmenovic,et al.  Localized minimum-energy broadcasting in ad-hoc networks , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[19]  Andrea E. F. Clementi,et al.  The minimum broadcast range assignment problem on linear multi-hop wireless networks , 2003, Theor. Comput. Sci..

[20]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[21]  Stephan Eidenbenz,et al.  Equilibria in Topology Control Games for Ad Hoc Networks , 2003, DIALM-POMC '03.

[22]  Vikram Srinivasan,et al.  Cooperation in wireless ad hoc networks , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[23]  Peter Sanders,et al.  Energy Optimal Routing in Radio Networks Using Geometric Data Structures , 2002, ICALP.

[24]  Jean-Pierre Hubaux,et al.  Minimum-energy broadcast in all-wireless networks: NP-completeness and distribution issues , 2002, MobiCom '02.

[25]  Ioannis Caragiannis,et al.  Energy-Efficient Wireless Network Design , 2003, Theory of Computing Systems.

[26]  Gert Vegter,et al.  In handbook of discrete and computational geometry , 1997 .

[27]  Levente Buttyán,et al.  Stimulating Cooperation in Self-Organizing Mobile Ad Hoc Networks , 2003, Mob. Networks Appl..

[28]  Eric van Damme,et al.  Non-Cooperative Games , 2000 .

[29]  Andrea E. F. Clementi,et al.  Some Recent Theoretical Advances and Open Questions on Energy Consumption in Ad-Hoc Wireless Networks , 2001 .

[30]  Christos H. Papadimitriou,et al.  Worst-case equilibria , 1999 .

[31]  Stéphane Pérennes,et al.  Improved Approximation Results for the Minimum Energy Broadcasting Problem , 2004, DIALM-POMC '04.

[32]  Tim Roughgarden,et al.  How bad is selfish routing? , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[33]  Weifa Liang,et al.  Constructing minimum-energy broadcast trees in wireless ad hoc networks , 2002, MobiHoc '02.

[34]  Per Johansson,et al.  Wireless ad hoc networking—The art of networking without a network , 2000 .

[35]  Imrich Chlamtac,et al.  A new approach to the design and analysis of peer‐to‐peer mobile networks , 1999, Wirel. Networks.

[36]  Xiang-Yang Li,et al.  Minimum-Energy Broadcasting in Static Ad Hoc Wireless Networks , 2002, Wirel. Networks.

[37]  Marco Conti,et al.  Cooperation issues in mobile ad hoc networks , 2004, 24th International Conference on Distributed Computing Systems Workshops, 2004. Proceedings..

[38]  Levente Buttyán,et al.  Equilibrium Analysis of Packet Forwarding Strategies in Wireless Ad Hoc Networks - The Static Case , 2003, PWC.

[39]  Andrea E. F. Clementi,et al.  Efficient Algorithms for Low-Energy Bounded-Hop Broadcast in Ad-Hoc Wireless Networks , 2004, STACS.

[40]  Éva Tardos,et al.  Near-optimal network design with selfish agents , 2003, STOC '03.

[41]  Gruia Calinescu,et al.  Network Lifetime and Power Assignment in ad hoc Wireless Networks , 2003, ESA.

[42]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .